Elaine shoots an arrow upward at a speed of 32 feet per second from a bridge that is
28 feet high. The height of the arrow is given by the function h(t) = -16t2 + 32t + 28,
where t is the time in seconds. What is the maximum height that the arrow reaches?

Answer:

180

Step-by-step explanation:

The area of a parallelogram is given by the formula A = b × h, where b is the base and h is the height. In this case, the base is 10 and the height is 18. Therefore, the area is:

A=10×18

A=180

The area of the parallelogram is 180 square units

Answer:

here is a line plot of the data provided:

     |  

4.0   |                  X

     |

3.5   |

     |

3.0   |          X

     |

2.5   |

     |

2.0   |   X       X     X   X

     |_________________________

          1/3   1 1/3   2 1/3   3

Title: Homework Time on Monday Night

The plot shows the time in hours spent on homework by the students, with each "X" representing one data point. The horizontal axis represents the possible values of the data, and the vertical axis shows the frequency of occurrence of each value.

The values are labeled correctly on the horizontal axis, with each tick mark representing one possible value. The vertical axis is not labeled with specific values, but it is clear that the scale is in increments of

Answer:

There are 6 plates per stack

Step-by-step explanation:

18 ÷ 3 = 6

Answer:

6 plates per stack cos 3 multiplied by 6 will give u 18

The shape is a triangular prism with a triangular base, base area of 24in², height of 5in and volume of 40in³

The given solid is a triangular prism since its base figure is triangular in nature.

Since the base is a triangle, the area of the base is expressed as:

Area = 1/2 * base * height

Area of base = 1/2 * 6 * 8

Area of base = 24 square inches

The height of the solid is 5 inches and the required volume is calculated as:

Volume = BH/3

Volume = 24*5/3

Volume = 40 cubic inches

The shape is a triangular prism with a triangular base, base area of 24in², height of 5in and volume of 40in³

Learn more on volume of prism here: https://brainly.com/question/29663752

#SPJ1

For each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.

This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.

Let's assume that x pounds of Guatemalan coffee are used per pound of the blend.

Given information:

Cost of Guatemalan coffee = $11/lb

Cost of the other coffee = $5/lb

Desired cost of the blend = $8/lb

Total weight of the blend = 6 pounds

To find the ratio of Guatemalan coffee to the total blend, we can set up the equation:

\((x \times 11 + (6 - x) \times 5) / 6 = 8\)

In this equation, \((x \times 11)\) represents the cost of the Guatemalan coffee in the blend, and\(((6 - x) \times 5)\) represents the cost of the other coffee in the blend.

The numerator is the total cost of the blend, and we divide it by 6 (the total weight of the blend) to find the cost per pound.

Now, let's solve the equation for x:

(11x + 30 - 5x) / 6 = 8

6x + 30 = 48

6x = 48 - 30

6x = 18

x = 18/6

x = 3

Therefore, for each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.

This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.

To summarize, to achieve a cost of $8 per pound for a 6-pound bag of blend, Cold Beans should use 3 pounds of Guatemalan coffee per pound of the blend.

For similar question on cost.

https://brainly.com/question/2292799  

#SPJ8

A function is a rule that for every input it assigns exactly one output. The Option 1 is correct.

A function is a rule that assigns each input exactly one output. We call the output the image of the input. The set of all inputs for a function is called the domain. The set of all allowable outputs is called the codomain.

To be able to define the function, we must describe the rule. This is often done by giving a formula to compute the output for any input (although this is certainly not the only way to describe the rule). The key thing that makes rule actually a function is there is exactly one output for each input. That is, it is important that the rule be a good rule.

Read more about function

brainly.com/question/10439235

#SPJ1

Answer:

Factor the numerator and denominator and cancel the common facotors which would give you 0.07843137

we have the equations

x^2+y^2=9

this is the equation of a circle centered at the origin with a radius of 3 units

y=x

this is the equation of a line

therefore

Answer:

Step-by-step explanation:

Another way to write the compound inequality is 2 ≤ y+3 < 6. The 1st option is the answer

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g 2x > 4

Given: y + 3 ≥ 2 and y + 3 < 6

To write these in another way, change the inequality sign of one of the inequalities by rearranging. That is:

y + 3 ≥ 2 can be rewritten as 2 ≤ y+3. Thus, we have:

2 ≤ y+3 and y + 3 < 6

Combine the two:

2 ≤ y+3 < 6

Learn more about inequality on:

brainly.com/question/25275758

#SPJ1

The function rule for g(x) is h(x) = (x - 0)² - 7.

In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:

f(x) = a(x - h)² + k

Where:

Based on the information provided about the vertex (0, -7) and other points (-3, 2), we can determine the value of a as follows:

f(x) = a(x - h)² + k

2 = a(-3 - 0)² - 7

2 + 7 = 9a

9 = 9a

a = 1

Therefore, the required quadratic function in vertex form is given by:

h(x) = a(x - h)² + k

h(x) = (x - 0)² - 7

h(x) = x² - 7

Read more on vertex here: brainly.com/question/14946018

#SPJ1

A first course in differential equations with modeling applications ninth edition is a textbook that covers the basics of differential equations and their applications in mathematical modeling.

It begins with an introduction to the concepts of differential equations, including the definition, solution methods, and the concept of modeling. It then covers topics such as first-order linear equations, higher-order linear equations, systems of linear differential equations, and nonlinear equations. It also has a chapter on boundary-value problems, which is a type of differential equation that involves a set of boundary conditions that must be satisfied for the solution to be valid.

In order to solve differential equations with boundary-value problems, we must first define the boundary conditions that must be satisfied for the solution to be valid. This involves setting up the boundary conditions in terms of the dependent and independent variables of the equation. We then solve the equation using the boundary conditions and the equation itself. The solution is then used to calculate values for the independent and dependent variables at the boundary points. Finally, we can verify the solution by substituting the calculated values into the equation and seeing if the solution is valid.

Learn more about differential equations here:

https://brainly.com/question/14620493

#SPJ4

Answer:

The third one is correct

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

5

C

3

5!/(3!(5-3)!)

5!/(3!x2!)

120/12

10

In 10 ways can a supermarket manager display 5 brands of cereals

in 3 spaces on a shelf.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.

Given:

Total brands of cereals= 5

Using Combination, C(n, r)

= n!/ r! (n- r)!

So, the number of ways

= C(5, 3)

= 5!/(3!(5-3)!) 5

= 5 x 4 x 3! / 3! x 2!

= 5 x 4 /2

= 10

Thus, the total number of ways is 10.

Learn more about Combination here:

https://brainly.com/question/13387529

#SPJ6

The evaluate value of definite integral \int ( 2 ) ^ ( 8 ) (4 x - 12) dx ` or ₂∫⁸ (4x -12) dx in terms of areas is 108.

Integral is defined as a technique that requires assigning a numerical value to a function, thus helping to find displacement, area, volume, etc. The integral method is the exact opposite of the differential method. There are two types of integrals, one is definite and the other is indefinite. A definite integral is an integral bounded by a limit and containing no constant.

We have given that, let F(x) =\int (2) ^(8) (4x-12) dx`

8

F(x) = ∫( 4x - 12 )dx = ₂∫⁸ 4x dx - ₂∫⁸12 dx

2

=> F(x) = {4x^2/2 - 12x}from 2 to 8

=> F(x) = 2(81)-12(8)} - {2(4) - 12(4)}

=> F (x) = {162 - 96} - { 8- 48}

=> F(X) = 66 + 40 = 106

Hence, the evaluate value is 106.

To learn more about Integration, refer:

https://brainly.com/question/28157330

#SPJ4

Answer:

150 cm square

Hope this helps!

Answer:

np = 81  , nQ = 99

Step-by-step explanation:

Given:

X - B ( n = 180 , P = 0.45 )

Find:

Sampling distribution has an approximate normal distribution

Computation:

nP & nQ ≥ 5

np = n × p

np = 180 × 0.45

np = 81

nQ = n × (1-p)

nQ = 180 × ( 1 - 0.45 )

nQ = 99

\(Therefore, sampling\ distribution\ has\ an\ approximately\ normal\ distribution.\)

1) The difference is 11two

2) The difference is 30 seven

A number base, usually referred to as a numeral system or radix, is a system of digits and rules used to represent numbers. In a positional numeral system, it specifies the number of distinct digits or symbols that can be used to represent values.

Let us first convert to base 10, carry out the operation and then return to the required base.

Hence;

101two = 5 ten

10 two = 2 ten

5 ten - 2 ten = 3 ten or 11two

b) 62seven = 44 ten

23 seven = 17 ten

44 ten - 23 ten = 21 ten or 30 seven

Learn more about number base:https://brainly.com/question/13436915

#SPJ1

The algebraic representation of the expression is d * 2 = 24

From the question, we have the following parameters that can be used in our computation:

24 is the product of Diane's height and 2.

By definiton:

product means multiplication

Using the above as a guide, we have the following:

d * 2 = 24

When solved, we have

d = 12

Read mroe about expressions at

brainly.com/question/30492964

#SPJ1

You would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four years.

To calculate the monthly savings required to reach a savings goal of $3,000.00 over four years with a 10% annual interest rate,  we can use the PMT (Payment) function.

The PMT function helps us determine the fixed payment amount needed to achieve a specific future value within a given time frame.

Let's break down the given information:

Present Value (PV): $0.00 (initial account balance)

Future Value (FV): $3,000.00 (savings goal)

Interest Rate (rate): 10% per year (annual interest rate)

Number of Periods (nper): 4 years (48 months)

Using the PMT function, we need to plug in the values and solve for the monthly payment (savings amount).

The formula for the PMT function is:

PMT(rate, nper, pv, [fv], [type])

Where:

rate = Interest rate per period

nper = Total number of periods

pv = Present value (initial account balance)

fv = Future value (savings goal)

type = (Optional) Indicates whether the payment is made at the beginning (1) or end (0) of the period.

We'll assume 0 for monthly savings.

Let's calculate the monthly savings using the PMT function:

PMT(10%/12, 4*12, 0, -3000, 0)

Here, we divide the annual interest rate by 12 to get the monthly interest rate (10%/12), multiply the number of years by 12 to get the total number of months (4*12), set the initial account balance (pv) as $0, set the future value (fv) as -$3,000 (negative because it's an outgoing payment), and assume the savings are made at the end of each month (type = 0).

Using a financial calculator or spreadsheet software, the monthly savings required to reach the goal of $3,000.00 over four years with a 10% annual interest rate is approximately $56.62.

Therefore, you would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four year.

For similar question on annual interest rate.  

https://brainly.com/question/29059795  

#SPJ11

Question : you want to reach $3,000.00 in savings over four years. Your account will earn 10% interest per yea Initially your account has a zero balance. How much must you save each month to achieve this goal? Use the PMT() function. Look it up in the e-book if you do not know how to use it. TIP: This is monthly so do not forget to adjust the interest rate and number of payment.

Briana and her mother will need to measure and cut the fabric for the quilt. They will need to decide on a pattern and color scheme for the quilt. They will need to sew the pieces of fabric together to create the quilt top. They will need to layer the quilt top with batting and backing fabric and then quilt the layers together. Finally, they will need to bind the edges of the quilt.

Answer:

put the x by the number 4

Step-by-step explanation:

The number of Jim's model car is 48

From the question, we have the following parameters that can be used in our computation:

Ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 8 : 6

This means that

Jim : Terrence = 8 : 6

Also from the question, we have

Terrence owns 36 models cars

This means that

Terrence = 36

Substitute the known values in the above equation, so, we have the following representation

Jim : 36 = 8 : 6

Multiply by 6

Jim : 36 = 48 : 36

So, we have

Jim = 48

Hence, the number of car is 48

Read more about ratio at

https://brainly.com/question/1781657

#SPJ1

From the given table,

1 Pizza corresponds to 4 students

2 Pizza corresponds to 8 students

3 Pizza corresponds to 12 students

4 Pizza corresponds to 16 students

As you notice, for every pizza there are 4 students,

so the multiplier is 4.

2 pizza x 4 = 8 students

3 pizza x 4 = 12 students

4 pizza x 4 = 16 students

The answer is Option B. Multiply the number of pizza by 4 to find the number of students

The probability of the Doubles" means both dice show the same number is 36.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probabilities of these two outcomes must be added in order to get the likelihood of rolling an even number or doubles, but since we have already tallied those outcomes twice, the probability of rolling both doubles and an even number must be subtracted. The probability of rolling doubles and an even number is 1/36 since rolling two sixes is the only method to get a double and an even number.

The likelihood of rolling an even number or doubles is thus:

The formula for P(even number or doubles) is P(even number) = P(even number) + P(doubles) - P(even number and doubles) = 1/2 + 1/6 - 1/36 = 19/36.

The odds of rolling an even number or two doubles are 19/36.

Therefore, the probability of the Doubles" means both dice show the same number is 36.

Learn more about probability, here:

https://brainly.com/question/30034780

#SPJ1

Solution

It's Friday

Because, the number of dots for week 2 is 9, while the number of dots for week 1 is 6.

Hence, the correct option is A.

The value of x from the venn diagram if P(T | V) = 1/5 is 16

From the question, we have the following parameters that can be used in our computation:

The venn diagram

From the venn diagram, we have the following probability values

P(T | V) = (x - 4)/(3x + x - 4)

Evaluate the like terms

So, we have

P(T | V) = (x - 4)/(4x - 4)

From the question, we have

P(T | V) = 1/5

This means that

(x - 4)/(4x - 4) = 1/5

When evaluated, we have

x = 16

Hence, the value of x is 16

Read more about probability at

https://brainly.com/question/31649379

#SPJ1

Answer:

(3xy - 1)/3x = b

Step-by-step explanation:

make b the subject of formula

then simply it

did you get it

Answer:

b=Y-x/3

Step-by-step explanation:

Solve for b by simplifying both sides of the equation, then isolating the variable.

have a great day and thx for your inquiry :)